In the absence of predators the population of mosquitos in a certain area would inccrease at a rate proportional to its current population and its population would double every three weeks. There are 250,000 mosquitos in the area initially when a flock of birds arrive that eats 80,000 mosquitos per week. How many mosquitos remain after two weeks?

Q: The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: Given that rate of decay of radium is proportional to the amount present at that time.

Q: How fast is the volume of a parallelepiped increasing if the length, width, and height of the…

A:

Q: The number of insects in a colony is known to multiply at a rate proportional to the number of…

A:

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: given,     radioactive material is decay at a rate proportional to the amount present .initially 50…

Q: 2. In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

A: Solution is given below:

Q: A tank initially contains 200 L of fresh water. Brine containing 2.5 N/L of dissolved salt runs into…

A: Let "s" represents the quantity of salt in the tank. dSdt=(8×2.5)-8S200dSdt+0.04S=20   and S(0)=0…

Q: In a certain culture of bacteria the rate of increase is proportional to the number present. a. If…

A: Explained below

Q: The population of a state is known to grow at a rate proportional to the number of people presently…

A: Follow the steps.

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A:

Q: A swimming pool is nearly​ empty, holding only 5100 gallons of water. A system is set up so that the…

A:

Q: at a rate proportional to the current population, and in the absence of other factors, the…

A: Consider at time t the population of mosquitoes is N in the area

Q: After a long study, three scientists conclude that a eucalyptus tree will grow at a rate of…

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Q: Water is pumped from a tank at constant rate, and no more water enters the tank. If the tank…

A: Given: The amount of water at 3:56 PM is 10452 L and amount of water at 4:12 PM on same day  is 8092…

Q: The population of a certain municipality increases at the rate proportional to the present…

A: Here we solve the given population growth problem.

Q: The population of Amoeba Proteus is known to grow at a rate proportional to the amount present in a…

A: Given problem:- The population of Amoeba Proteus is known to grow at a rate proportional to the…

Q: In a certain culture of bacteria, the rate of increase is proportional to the number present. (a) If…

A: Model the given problem dpdt=kp if p is the present number of bacteria integrate it on both sides…

Q: A population of bacteria grows at a rate proportional to the number of bacteria at the time. There…

A: Given that:                      Bacteria growth rate is proportional to the number of bacteria at…

Q: a city grows at a rate directly proportional to its population. The initial pop. is 30 and it…

A: The rate of change of the variable (Population here) is proportion to the variable itself. Hence,…

Q: A swimming pool is nearly​ empty, holding only 5100 gallons of water. A system is set up so that…

A: The number of gallons p in the pool after x hours can be written as: p(x)=5100×1.17x Take the…

Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

A:

Q: After 2 days, 10 grams of a radioactive substance is present. Three days later, 5 grams is present.…

A:

Q: 2. In a certain culture of bacteria, the rate of increase is proportional to the number present. If…

A:

Q: The rate at which the body cools is proportional to the difference in temperature of the body and…

A:

Q: Bacteria grown in a certain culture increase at a rate proportional to the amount present. If there…

A: This question is based on application of diffrential equation.

Q: air containing 30% oxygen passes slowly into a 3 gallon flask initially filled with pure oxygen and…

A:

Q: In a certain culture of bacteria, the rate of increase is proportional to the number present. (a) If…

A: In a certain culture of bacteria, the rate of increase is proportional to the number present. We…

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A:

Q: The population of Tagum City is increasing at the rate proportional to its current population. In…

A:

Q: The population of a district in a town is known to increase at a rate proportional to the number of…

A: We will find out the required initial population of the state .

Q: A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are…

A:

Q: The population of mosquitoes in a certain area increases at a rate proportional to the current…

A:

Q: A certain population of bacteria is known to grow at a rate proportional to the amount present in a…

A: Solve for bacteria after 20 hrs

Q: A 500-gal tank initially contains 100 gal of brine containing 50 lb of salt. Brine containing 2 Ib…

A: Given:   Equation data is given

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A:

Q: A tank contains 1000 liters of brine. Brine containing 0.4 kg/liter of salt flows in at 10…

A: Let st= The amount of salt at time t. The brine flows in at the rate 10 liters/minute and flows out…

Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

A:

Q: A cup of coffee cools at rate proportional to the difference between the constant room temperature…

A:

Q: The population of a community is known to increase at a rate proportional to the number of people…

A:

Q: In a chemical reaction, a certain compound changes into another compound at a rate proportional to…

A: Let y be the unconverted amount of substance A at time t. Thus, the given information can be written…

Q: A certain type of bacteria is known to grow at the rate proportional to the amount that is present.…

A:

Q: During a certain epidemic, the number of people that are infected at any time increases at a rate…

A: image is attched

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 66°C, it…

A:

Q: A certain population of bacteria grows at a rate that is proportional to the number present. It is…

A: Given that: Growth rate of bacteria ∝ Number of bacteria presentNumber doubles in 2 hr

Q: Initially 47 grams of radioactive substance was present. After 10 hours the mass had decreased by…

A:

Q: The number of germs in a certain culture increases at a rate proportional to the number present. If…

A:

Q: A certain mold grows at a rate proportional to its present size. If the original amount doubles in…

A: Given that a certain mold grows at a rate proportional to its present size. And the original amount…

Q: A puppy weighs 2.0 lb at birth and 3.5 lb 2 months later. If the weight of the puppy during its…

A:

Q: Initially 25 grams of radioactive substance was present. After 10 hours the mass had decreased by…

A:

Q: The population of a certain bacteria culture was 49,271 after 15 hours had elapsed. After another 22…

A: Given that the population of a certain bacteria culture was 49,271 after 15 hours had elapsed.After…

Q: 2. The population of a country doubles in 50 years. How many years will be 5 times as much? Assume…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.